Pith Number

pith:KNHZ3RHI

pith:2019:KNHZ3RHIQC5A7VN4WVL3D6XQOQ

not attested not anchored not stored refs pending

A Brezis-Lieb-type Lemma in Orlicz space

Anouar Bahrouni

arxiv:1901.03667 v1 · 2019-01-07 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNHZ3RHIQC5A7VN4WVL3D6XQOQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:56:30.691118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534f9dc4e880ba0fd5bcb557b1faf0743179e1c1c8e7a36e3d6b0905bace8d69

Aliases

arxiv: 1901.03667 · arxiv_version: 1901.03667v1 · doi: 10.48550/arxiv.1901.03667 · pith_short_12: KNHZ3RHIQC5A · pith_short_16: KNHZ3RHIQC5A7VN4 · pith_short_8: KNHZ3RHI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KNHZ3RHIQC5A7VN4WVL3D6XQOQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 534f9dc4e880ba0fd5bcb557b1faf0743179e1c1c8e7a36e3d6b0905bace8d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f59e1d90e1d81b1606a5434acafb32421879f3e95b52753b61d5ef01328bf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-07T19:24:25Z",
    "title_canon_sha256": "ff3bdf2b16a170e2c32e6d2591cf8af2797663968d9322d14fb0550b4cc5847b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03667",
    "kind": "arxiv",
    "version": 1
  }
}